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Finding the Fourth Proportional to 30,132.77, 41,578.83 and 16,704

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Solution

The fourth proportional to 30,132.77, 41,578.83 and 16,704 is: 23,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,132.77 : 41,578.83 = 16,704 : x
  2. Step 2: Convert to fraction form
    30,132.77/41,578.83 = 16,704/x
  3. Step 3: Cross multiply
    30,132.77x = 41,578.83 × 16,704
  4. Step 4: Simplify right side
    30,132.77x = 694,532,776.32
  5. Step 5: Solve for x
    x = 694,532,776.32/30,132.77
  6. Step 6: Final answer
    x = 23,049.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.